The work analyzes the properties of handling and bicycle vehicle model motion stationary states manifold stability taking into account drift force nonlinear characteristics. Determining single two-axle vehicle nonlinear model stationary states and analyzing their stability were based on a graphical method (Y. M. Pevzner, H. Pacejka). It has its disadvantages: the absence of evident analytical stability criteria for the entire wheeled vehicle circular stationary states manifold. And also the absence of global stability threshold characteristics in the controlled parameter space. The task part suggests developing methods for building bifurcation manifold or critical parameters manifold (longitudinal velocity and wheel turning angle) with which the divergent loss of stability occurs. Known H. Troger, K. Zeman and Fabio Della Rossaa, GiampieroMastinub, Carlo Piccardia results are based on parameter continuation numerical methods which makes the quality analysis of drift force nonlinear characteristics impact on the entire stationary states manifold stability conditions more difficult. A compelling grapho-analytic approach towards bifurcation manifold building and getting circular stationary states analytical stability conditions based on moving from nonlinear drift forces on axles dependencies to their inverse dependence is developed in the suggested work. This methodology allows defining dangerous/safe stability threshold conditions in the control parameters space.
| Published in | Mathematics and Computer Science (Volume 3, Issue 1) |
| DOI | 10.11648/j.mcs.20180301.13 |
| Page(s) | 13-22 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2024. Published by Science Publishing Group |
Non-linear Bicycle Model, Stationary States Manifold, Vehicle Handling, Divergent Stability Loss, Parameters Bifurcation Set
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APA Style
Verbitskii Vladimir Grigorievich, Bezverhyi Anatoliy Igorevich, Tatievskyi Dmitry Nikolayevich. (2018). Handling and Stability Analysis of Vehicle Plane Motion. Mathematics and Computer Science, 3(1), 13-22. https://doi.org/10.11648/j.mcs.20180301.13
ACS Style
Verbitskii Vladimir Grigorievich; Bezverhyi Anatoliy Igorevich; Tatievskyi Dmitry Nikolayevich. Handling and Stability Analysis of Vehicle Plane Motion. Math. Comput. Sci. 2018, 3(1), 13-22. doi: 10.11648/j.mcs.20180301.13
AMA Style
Verbitskii Vladimir Grigorievich, Bezverhyi Anatoliy Igorevich, Tatievskyi Dmitry Nikolayevich. Handling and Stability Analysis of Vehicle Plane Motion. Math Comput Sci. 2018;3(1):13-22. doi: 10.11648/j.mcs.20180301.13
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Download@article{10.11648/j.mcs.20180301.13,
author = {Verbitskii Vladimir Grigorievich and Bezverhyi Anatoliy Igorevich and Tatievskyi Dmitry Nikolayevich},
title = {Handling and Stability Analysis of Vehicle Plane Motion},
journal = {Mathematics and Computer Science},
volume = {3},
number = {1},
pages = {13-22},
doi = {10.11648/j.mcs.20180301.13},
url = {https://doi.org/10.11648/j.mcs.20180301.13},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.mcs.20180301.13},
abstract = {The work analyzes the properties of handling and bicycle vehicle model motion stationary states manifold stability taking into account drift force nonlinear characteristics. Determining single two-axle vehicle nonlinear model stationary states and analyzing their stability were based on a graphical method (Y. M. Pevzner, H. Pacejka). It has its disadvantages: the absence of evident analytical stability criteria for the entire wheeled vehicle circular stationary states manifold. And also the absence of global stability threshold characteristics in the controlled parameter space. The task part suggests developing methods for building bifurcation manifold or critical parameters manifold (longitudinal velocity and wheel turning angle) with which the divergent loss of stability occurs. Known H. Troger, K. Zeman and Fabio Della Rossaa, GiampieroMastinub, Carlo Piccardia results are based on parameter continuation numerical methods which makes the quality analysis of drift force nonlinear characteristics impact on the entire stationary states manifold stability conditions more difficult. A compelling grapho-analytic approach towards bifurcation manifold building and getting circular stationary states analytical stability conditions based on moving from nonlinear drift forces on axles dependencies to their inverse dependence is developed in the suggested work. This methodology allows defining dangerous/safe stability threshold conditions in the control parameters space.},
year = {2018}
}
TY - JOUR T1 - Handling and Stability Analysis of Vehicle Plane Motion AU - Verbitskii Vladimir Grigorievich AU - Bezverhyi Anatoliy Igorevich AU - Tatievskyi Dmitry Nikolayevich Y1 - 2018/02/23 PY - 2018 N1 - https://doi.org/10.11648/j.mcs.20180301.13 DO - 10.11648/j.mcs.20180301.13 T2 - Mathematics and Computer Science JF - Mathematics and Computer Science JO - Mathematics and Computer Science SP - 13 EP - 22 PB - Science Publishing Group SN - 2575-6028 UR - https://doi.org/10.11648/j.mcs.20180301.13 AB - The work analyzes the properties of handling and bicycle vehicle model motion stationary states manifold stability taking into account drift force nonlinear characteristics. Determining single two-axle vehicle nonlinear model stationary states and analyzing their stability were based on a graphical method (Y. M. Pevzner, H. Pacejka). It has its disadvantages: the absence of evident analytical stability criteria for the entire wheeled vehicle circular stationary states manifold. And also the absence of global stability threshold characteristics in the controlled parameter space. The task part suggests developing methods for building bifurcation manifold or critical parameters manifold (longitudinal velocity and wheel turning angle) with which the divergent loss of stability occurs. Known H. Troger, K. Zeman and Fabio Della Rossaa, GiampieroMastinub, Carlo Piccardia results are based on parameter continuation numerical methods which makes the quality analysis of drift force nonlinear characteristics impact on the entire stationary states manifold stability conditions more difficult. A compelling grapho-analytic approach towards bifurcation manifold building and getting circular stationary states analytical stability conditions based on moving from nonlinear drift forces on axles dependencies to their inverse dependence is developed in the suggested work. This methodology allows defining dangerous/safe stability threshold conditions in the control parameters space. VL - 3 IS - 1 ER -
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